The midpoint of kl is m(4.8, -7.8). one endpoint is l(0.6, -5.6). find the coordinates of the other endpoint k.

1 answer
Question:

the midpoint of kl is m(4.8, -7.8). one endpoint is l(0.6, -5.6). find the coordinates of the other endpoint k.

Answers

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &k&(~ x &,& y~) % (c,d) &l&(~ 0.6 &,& -5.6~) \end{array}\qquad % coordinates of midpoint \left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)[/tex][tex]\bf \left( \cfrac{0.6+x}{2}~~,~~\cfrac{-5.6+y}{2} \right)~=~\stackrel{midpoint}{(4.8~,~-7.8)}\quad \begin{cases} \cfrac{0.6+x}{2}=4.8\\\\ 0.6+x=9.6\\ \boxed{x=9}\\ ---------\\ \cfrac{-5.6+y}{2}=-7.8\\\\ -5.6+y=-15.6\\ \boxed{y=10} \end{cases}[/tex]

Similar Solved Questions

1 answer

In the formula G(n) = 1000(0.5)^n-1, what is the first term of the sequence?

In the formula G(n) = 1000(0.5)^n-1, what is the first term of the sequence?...
1 answer

What is the nth term rule of the linear sequence below? 13 , 7 , 1 , − 5 , − 11 , . . .

What is the nth term rule of the linear sequence below? 13 , 7 , 1 , − 5 , − 11 , . . ....
1 answer

The mass of density bottle of volume 50cm3 is 10g when empty. Aluminium turnings are poured into the bottle and the total mass is 60g. Water is then added into the turnings till the bottle is full. If the total mass of the bottle and its contents is 90g, calculate the density of the aluminium turnings.

The mass of density bottle of volume 50cm3 is 10g when empty. Aluminium turnings are poured into the bottle and the total mass is 60g. Water is then added into the turnings till the bottle is full. If the total mass of the bottle and its contents is 90g, calculate the density of the aluminium turnin...
1 answer

Every fraction can be written as a _____ decimal or a _____ decimal .

every fraction can be written as a _____ decimal or a _____ decimal ....
1 answer

What exclamation or exclamatory?

What exclamation or exclamatory?...
1 answer

In terms of running the Earth's atmospheric processes, the significant energy comes from the Sun and ________. a. the Moon b. the next closest star c. reflection from Venus d. no other source

In terms of running the Earth's atmospheric processes, the significant energy comes from the Sun and ________. a. the Moon b. the next closest star c. reflection from Venus d. no other source...
1 answer

Which probability distribution is commonly used to model the inherent variability of activity time estimates in project management

Which probability distribution is commonly used to model the inherent variability of activity time estimates in project management...
1 answer

What is another name for binge eating disorder? compulsive overeating disorder bulimia anorexia nervosa obsessive diet disorder

What is another name for binge eating disorder? compulsive overeating disorder bulimia anorexia nervosa obsessive diet disorder...
1 answer

The temperature at noon is 18 degrees with the wind chill, it feels like -4 degrees. how much colder is the wind chill temperature than the actual temperature

The temperature at noon is 18 degrees with the wind chill, it feels like -4 degrees. how much colder is the wind chill temperature than the actual temperature...
1 answer

What is the family’s situation in the bone and the sparrow book ???

What is the family’s situation in the bone and the sparrow book ???...
1 answer

4. Chick-fil-A is selling 8-count chicken nuggets for a special price of $3.50 and french fries for $1.00. Mrs. Elrod orders four packs of chicken nuggets and two orders of fries for her family. How much does she spend in total at Chick-fil-A?

4. Chick-fil-A is selling 8-count chicken nuggets for a special price of $3.50 and french fries for $1.00. Mrs. Elrod orders four packs of chicken nuggets and two orders of fries for her family. How much does she spend in total at Chick-fil-A?...
2 answers

123456789+123456789-123456789

123456789+123456789-123456789...
1 answer

A plane is two-dimensional.

A plane is two-dimensional....
1 answer

Grammar, need to identify the bottom pieces.

Grammar, need to identify the bottom pieces....
2 answers

Which equation represents the sentence? Eight less than a number is one-third the number. 8 - n = n/3 n - 8 = 3n n - 8 = n/3 n/3 - 8 = n

Which equation represents the sentence? Eight less than a number is one-third the number. 8 - n = n/3 n - 8 = 3n n - 8 = n/3 n/3 - 8 = n...
1 answer

Can someone help me with this

Can someone help me with this...
1 answer

If an economy consumes 68 percent of any increase in disposable income, then an increase in autonomous investment of $1 billion would result in an increase in total spending of as much as

If an economy consumes 68 percent of any increase in disposable income, then an increase in autonomous investment of $1 billion would result in an increase in total spending of as much as...
1 answer

Will give brainliest! What is the equation of the line in slope-intercept form?

Will give brainliest! What is the equation of the line in slope-intercept form?...
2 answers

What is a period of deep sorrow that a person might feel after the death of a friend or a loved one.

What is a period of deep sorrow that a person might feel after the death of a friend or a loved one....

-- 0.052449--